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SRS Standard pair #487083680
details
property
value
status
complete
benchmark
size-12-alpha-3-num-477.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.9655 seconds
cpu usage
179.696
user time
176.079
system time
3.61752
max virtual memory
1.1647324E7
max residence set size
101856.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> a#(b(b(c(x1)))) a#(a(x1)) -> a#(b(b(c(x1)))) -> a#(a(x1)) -> c#(x1) EDG Processor: DPs: a#(a(x1)) -> c#(x1) a#(a(x1)) -> a#(b(b(c(x1)))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(b(c(x1)))) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) SCC Processor: #sccs: 1 #rules: 3 #arcs: 6/16 DPs: c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(x1) TRS: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 3 usable rules: a(a(x1)) -> a(b(b(c(x1)))) a(b(x1)) -> x1 c(b(x1)) -> a(c(x1)) interpretation: [c#](x0) = [-& -& 0 ]x0 + [0], [0 0 0 ] [0] [c](x0) = [-& -& 0 ]x0 + [0] [-& 0 -&] [0], [a#](x0) = [-& 0 0 ]x0 + [0], [0 0 1 ] [-&] [a](x0) = [0 -& 0 ]x0 + [0 ] [0 0 1 ] [1 ], [0 0 0] [0 ] [b](x0) = [0 1 0]x0 + [1 ] [0 0 0] [-&] orientation: c#(b(x1)) = [0 0 0]x1 + [0] >= [-& -& 0 ]x1 + [0] = c#(x1) c#(b(x1)) = [0 0 0]x1 + [0] >= [-& 0 0 ]x1 + [0] = a#(c(x1)) a#(a(x1)) = [0 0 1]x1 + [1] >= [-& -& 0 ]x1 + [0] = c#(x1) [1 1 2] [2] [1 1 2] [2] a(a(x1)) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = a(b(b(c(x1)))) [1 1 2] [2] [1 1 2] [2] [1 1 1] [1]
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